166345984 has 108 divisors (see below), whose sum is σ = 393214500. Its totient is φ = 70017024.

The previous prime is 166345967. The next prime is 166345987. The reversal of 166345984 is 489543661.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 140944384 = 5040^2 + 11872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166345987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116342 + ... + 1116490.

It is an arithmetic number, because the mean of its divisors is an integer number (3640875).

Almost surely, 2^166345984 is an apocalyptic number.

166345984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196607250).

166345984 is an abundant number, since it is smaller than the sum of its proper divisors (226868516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166345984 is an equidigital number, since it uses as much as digits as its factorization.

166345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 166345984 is about 12897.5185210179. The cubic root of 166345984 is about 549.9680245874.

The spelling of 166345984 in words is "one hundred sixty-six million, three hundred forty-five thousand, nine hundred eighty-four".